Least Common Multiple of 16/398, 61/938, 114/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/398, 61/938, 114/130 quickly i.e. 27816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/398, 61/938, 114/130 is 27816.

LCM(16/398, 61/938, 114/130) = 27816

LCM of 16/398, 61/938, 114/130

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 16/398,61/938,114/130

Given numbers are 16/398,61/938,114/130

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 16,61,114

Least Common Multiple of Numerators i.e. LCM of 16,61,114 is 55632.

GCF of Denominators means GCF of 398,938,130 as per the given fractions.

GCF of 398,938,130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,61,114

LCM of Fractions 16/398,61/938,114/130 is 27816

2 16, 61, 114
8, 61, 57

∴ So the LCM of the given numbers is 2 x 8 x 61 x 57 = 55632

Least Common Multiple of 16,61,114 with GCF Formula

Least Common Multiple of 16,61,114 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 16,61,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,61,114) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,61,114) x common factors =1 x 2 = 2

LCM(16,61,114) = ( 16 × 61 × 114 ) / 2

LCM(16,61,114) = 111264 / 2

LCM(16,61,114) = 55632


Lets's calculate GCF of 398,938,130

2 398, 938, 130
199, 469, 65

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55632/2

Therefore the LCM of Fractions 16/398,61/938,114/130 is 27816

Greatest Common Factor of 398,938,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,938,130 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 398,938,130 . The biggest common factor number is the GCF number.
So the greatest common factor 398,938,130 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 16/398, 61/938, 114/130

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 16/398, 61/938, 114/130?

Answer: LCM of Numerators as per given numbers 16/398, 61/938, 114/130 is

LCM of Numerators i.e. for 16,61,114 is 55632

GCF of denominators i.e. for 398,938,130 is 2.

Thus, LCM of Fractions is 27816.Finally, LCM of Fractions for 16/398, 61/938, 114/130 is 27816.